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Finding the Fourth Proportional to 124.45, 187.14 and 106.22

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Solution

The fourth proportional to 124.45, 187.14 and 106.22 is: 159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.45 : 187.14 = 106.22 : x
  2. Step 2: Convert to fraction form
    124.45/187.14 = 106.22/x
  3. Step 3: Cross multiply
    124.45x = 187.14 × 106.22
  4. Step 4: Simplify right side
    124.45x = 19,878.01
  5. Step 5: Solve for x
    x = 19,878.01/124.45
  6. Step 6: Final answer
    x = 159.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.